a person deposits $5000 in an account paying 2.5%, compounded semiannually. Find the amount in the account after 4.5 years
Answers
Answer:
$5,591.46
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 2.5% into a decimal:
2.5% -> -> 0.025
Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:
The amount in the account after 4.5 years is $5,591.46
Final answer:
To find the amount in the account with compound interest, we use the compound interest formula. Substituting given values into the formula, we can calculate the final amount in the account after the specified time period.
Explanation:
The subject of this question is the calculation of compound interest. In this case, the person is investing $5000 at an interest rate of 2.5%, compounded semiannually, with the principle kept on deposit for 4.5 years.
The formula used to calculate compound interest is: A = P * (1 + r/n)^(nt), where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- n is the number of times that interest is compounded per year.
- t is the time the money is invested for in years.
Substituting the given values into the formula we get: A = 5000 * (1 + 0.025/2)^(2*4.5). Solving, you obtain the amount in the account after 4.5 years.
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During the day, the manager of the meat department sold 15.4 pounds of hamburger to one customer and 13.22 pounds to another customer. When the store opened that morning, he had 35.75 pounds of hamburger to sell. How much hamburger does the manager have left to sell? lb
What is the mean for 20 30 40 50 60 70 80 90 110 120 130?
b. 138.5 ft
c. 288.5 ft
d. 438.5 ft
Answers
Answer : d. 438.5 ft
The diagram for the given statement is attached below.
Two sides AB and AC are equal so the angle B = angle C
WE know sum of three sides of a triangle = 180
angle A + angle B + angle C = 180
55 + B + C = 180
B + C = 180 -55 = 125
B and C are equal so we divide 125 by 2
angle B = 62.5 and angle C = 62.5
Now we apply sin law
150 * sin(55) = sin(62.5) * a
122.8728066 = sin(62.5) * a
a =
a= 138.52 feet
To find perimeter we add all the sides
150 + 150 + 138.52 = 438.52 feet
Answers
you have to add the 4 sides together 50 + 50 + 94 + 94=288
Answers
aera=legnth wtimes width
in a square, legnth=width
aera=legnth^2
legnth=14 feet
convert o inches
14*12=168 inches
area=168^2=28224 square inches
how many tiles will cover all of floor?
aka
how many 192 in^2 is at least 28224 (at least, because we need to cover the whole floor without gaps)
192x>28224
divide both sides by 192
x>147
147 is the number of tiles we need
Answers
Final answer:
The volume of the cylinder is approximately 1582.2 cubic feet when rounded to the nearest tenths place.
Explanation:
To find the volume of a cylinder, you can use the formula:
Volume (V) = π × r² × h
Where:
V is the volume of the cylinder.
π (pi) is approximately 3.14159.
r is the radius of the base.
h is the height of the cylinder.
In this case, the base diameter is given, but you need to find the radius, which is half of the diameter:
Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft
Now, you can plug these values into the formula and calculate the volume:
Volume (V) = π × (6 ft)² × 14 ft
Volume (V) = 3.14159 × 36 ft² × 14 ft
Volume (V) ≈ 3.14159 × 504 ft³
Volume (V) ≈ 1587.82336 ft³
Rounding to the nearest tenth, the volume of the cylinder is approximately 1587.8 cubic feet
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Part b. if Sophia decides to sort her pennies into 8 equal piles, how many pennies will be in each pile?
Answers
Part b. 154 pennies in each pile
A.1/8
B.1/6
C.1/2
D.2/3
Answers
Well, there are 6 sides.
There are also 6 numbers: 1, 2, 3, 4, 5, 6
Okay, so the probability of rolling a 3 is 1/6 because that is just one number of the 6.
Okay, number greater than four are 5 and 6, and if you add 3 to that you get 3/6, or 3 out of 6 numbers.
If you simplify 3/6 you get 1/2.
Hope this helps!
Probability of rolling a 3 or a number greater than 4: there are 2 numbers greater than 4 (5 and 6) and one other number (3). In total, there are 3 numbers here.
So the probability of rolling 3 numbers out of 6 is 3/6, which can be simplified to 1/2.